You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the other, you make a square. a. Where should you cut the rope so that the area of the sum of the two shapes is the smallest? b. Where should you cut the rope so that the sum is the largest?
You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the other, you make a square. a. Where should you cut the rope so that the area of the sum of the two shapes is the smallest? b. Where should you cut the rope so that the sum is the largest?
Chapter9: Math Models And Geometry
Section9.3: Use Properties Of Angles, Triangles, And The Pythagorean Theorem
Problem 108E: On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides the shown in the...
Related questions
Question
You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the other, you make a square.
a. Where should you cut the rope so that the area of the sum of the two shapes is the smallest?
b. Where should you cut the rope so that the sum is the largest?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 8 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill